A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

Question

3 years ago

11

round. If the angle of depression from the person on the building is 30°, how tall is the building?

1 answer:

kvasek [131] · Answer 1 · 2022-05-17T03:45:22+03:00

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets